document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114191>Question 1114191</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An architect is designing an atrium for a hotel. The atrium is to be rectangular with a perimeter of 700 ft of brass piping. What dimensions will maximize the area of the&#8203; atrium?<BR>\n" );
document.write( "A rectangle has a horizontal side labeled W and a vertical side labeled L.\r<BR>\n" );
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document.write( "The largest rectangular area of the atrium is <BR>\n" );
document.write( "______ by______.\r<BR>\n" );
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document.write( "There might be more after this, but at the moment, this is all of the problem I have.  Thank you in advance for your time. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #729222 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=729222\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I should end up with a square to maximize area.<BR>\n" );
document.write( "The perimeter is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+700+ ALIGN=MIDDLE  ALT=\"+P+=+700+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+2W+%2B+2L+ ALIGN=MIDDLE  ALT=\"+P+=+2W+%2B+2L+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2W+%2B+2L+=+700+ ALIGN=MIDDLE  ALT=\"+2W+%2B+2L+=+700+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2L+=+700+-+2W+ ALIGN=MIDDLE  ALT=\"+2L+=+700+-+2W+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+350+-+W+ ALIGN=MIDDLE  ALT=\"+L+=+350+-+W+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "The area, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+W%2AL+ ALIGN=MIDDLE  ALT=\"+A+=+W%2AL+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+W%2A%28+350+-+W+%29+ ALIGN=MIDDLE  ALT=\"+A+=+W%2A%28+350+-+W+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+-W%5E2+%2B+350W+ ALIGN=MIDDLE  ALT=\"+A+=+-W%5E2+%2B+350W+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft2<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "The formula for the W-value of the vetex,<BR>\n" );
document.write( "( maximum in his case ) is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W%5Bmax%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+W%5Bmax%5D+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > when the general form is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+ ALIGN=MIDDLE  ALT=\"+y+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W%5Bmax%5D+=+-350%2F%28-2%29+ ALIGN=MIDDLE  ALT=\"+W%5Bmax%5D+=+-350%2F%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W%5Bmax%5D+=+175+ ALIGN=MIDDLE  ALT=\"+W%5Bmax%5D+=+175+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L%5Bmax%5D+=+350+-+175+ ALIGN=MIDDLE  ALT=\"+L%5Bmax%5D+=+350+-+175+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L%5Bmax%5D+=+175+ ALIGN=MIDDLE  ALT=\"+L%5Bmax%5D+=+175+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5Bmax%5D+=+W%5Bmax%5D%2AL%5Bmax%5D+ ALIGN=MIDDLE  ALT=\"+A%5Bmax%5D+=+W%5Bmax%5D%2AL%5Bmax%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5Bmax%5D+=+175%2A175+ ALIGN=MIDDLE  ALT=\"+A%5Bmax%5D+=+175%2A175+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the max area is a square. You can calculate<BR>\n" );
document.write( "and check my math.<BR>\n" );
document.write( "Note also:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+2W+%2B+2L+ ALIGN=MIDDLE  ALT=\"+P+=+2W+%2B+2L+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+2%2A175+%2B+2%2A175+ ALIGN=MIDDLE  ALT=\"+P+=+2%2A175+%2B+2%2A175+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+700+ ALIGN=MIDDLE  ALT=\"+P+=+700+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "as it should </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );